Hermitian LCD codes from cyclic codes
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Publication:1671639
DOI10.1007/s10623-017-0447-0zbMath1408.94982OpenAlexW2773561837MaRDI QIDQ1671639
Publication date: 6 September 2018
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-017-0447-0
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)
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Cites Work
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- Quasi-cyclic complementary dual codes
- On complementary-dual quasi-cyclic codes
- Linear codes with complementary duals
- The condition for a cyclic code to have a complementary dual
- On LCD negacyclic codes over finite fields
- The combinatorics of LCD codes: linear programming bound and orthogonal matrices
- Euclidean and Hermitian LCD MDS codes
- Linear codes with complementary duals meet the Gilbert-Varshamov bound
- Minimum cyclotomic coset representatives and their applications to BCH codes and Goppa codes
- The Bose and Minimum Distance of a Class of BCH Codes
- Complementary Dual Codes for Counter-Measures to Side-Channel Attacks
- On Quantum and Classical BCH Codes
- Fundamentals of Error-Correcting Codes
- Complementary Dual Algebraic Geometry Codes
- Two Families of LCD BCH Codes
- Algebraic Geometry Codes With Complementary Duals Exceed the Asymptotic Gilbert-Varshamov Bound
- LCD Cyclic Codes Over Finite Fields
- Reversible codes
- On the minimum distance of certain reversible cyclic codes (Corresp.)